Gradient estimates for a parabolic 𝑝-Laplace equation with logarithmic nonlinearity on Riemannian manifolds
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Publication:5150204
DOI10.1090/proc/15275zbMath1457.58013OpenAlexW3122006134WikidataQ115290725 ScholiaQ115290725MaRDI QIDQ5150204
Publication date: 10 February 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/15275
maximum principlegradient estimateHarnack inequalityparabolic \(p\)-Laplace equation\(p\)-Bochner formula
Elliptic equations on manifolds, general theory (58J05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (4)
Logarithmic Harnack inequalities and gradient estimates for nonlinear \(p\)-Laplace equations on weighted Riemannian manifolds ⋮ Gradient estimates for positive weak solution to \(\Delta_p u + au^\sigma = 0\) on Riemannian manifolds ⋮ Logarithmic Harnack inequalities and differential Harnack estimates for \(p\)-Laplacian on Riemannian manifolds ⋮ Gradient estimates and Liouville type theorems for \((p-1)^{p-1}\Delta_pu+au^{p-1}\log u^{p-1}=0\) on Riemannian manifolds
Cites Work
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- Logarithmic Harnack inequalities
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- Hamilton-Souplet-Zhang's gradient estimates for two weighted nonlinear parabolic equations
- Gradient estimates and differential Harnack inequalities for a nonlinear parabolic equation on Riemannian manifolds
- Gradient estimates and entropy formulae for weighted \(p\)-heat equations on smooth metric measure spaces
- Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds
- Differential Harnack estimates and entropy formulae for weighted \(p\)-heat equations
- Differential Harnack estimates for a nonlinear heat equation
- Local gradient estimates of $p$-harmonic functions, $1/H$-flow, and an entropy formula
- Harmonic functions on complete riemannian manifolds
- Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
- Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds
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